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Triangles question

Screenshot 2023-09-12 171524.png
Hi, could someone help with this please? I tried working it out on the assumption that the relationship between ST and QR would be the same as the relationship between PS and PQ, but I keep getting x=2 which makes QR=5cm, which is not even one of the options :redface:
Reply 1
Original post by sqrt123
Screenshot 2023-09-12 171524.png
Hi, could someone help with this please? I tried working it out on the assumption that the relationship between ST and QR would be the same as the relationship between PS and PQ, but I keep getting x=2 which makes QR=5cm, which is not even one of the options :redface:

What ratio did you acutally use. I get one of the options
Reply 2
Original post by mqb2766
What ratio did you acutally use. I get one of the options


I said that y was what you multiply by to get from ST to QR, and did this:

20230912_173301.jpg
Reply 3
Original post by sqrt123
I said that y was what you multiply by to get from ST to QR, and did this:

20230912_173301.jpg

Your quadratic factorisinng is wrong. The product is not -3, you need to use the formula.

The ratios are right, but its simpler to just use similar triangles so
base ratio = side ratio
and you can simply it write down.
(edited 10 months ago)

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